<h2>题目编号 : 119</h2>
<div style="color:#666;font-size:80%;">07 April 2006</div><br />
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<p>The number 512 is interesting because it is equal to the sum of its digits raised to some power: 5 + 1 + 2 = 8, and 8<img src="" style="display:none;" alt="^(" /><sup>3</sup><img src="" style="display:none;" alt=")" /> = 512. Another example of a number with this property is 614656 = 28<img src="" style="display:none;" alt="^(" /><sup>4</sup><img src="" style="display:none;" alt=")" />.</p>
<p>We shall define <i>a</i><img src="" style="display:none;" alt="_(" /><sub>n</sub><img src="" style="display:none;" alt=")" /> to be the <i>n</i>th term of this sequence and insist that a number must contain at least two digits to have a sum.</p>
<p>You are given that <i>a</i><img src="" style="display:none;" alt="_(" /><sub>2</sub><img src="" style="display:none;" alt=")" /> = 512 and <i>a</i><img src="" style="display:none;" alt="_(" /><sub>10</sub><img src="" style="display:none;" alt=")" /> = 614656.</p>
<p>Find <i>a</i><img src="" style="display:none;" alt="_(" /><sub>30</sub><img src="" style="display:none;" alt=")" />.</p>

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